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Bonus lift on the mean

The bonus total is diluted by the course count. A 2.5 bonus total over five courses lifts the mean by 0.5; the same 2.5 over ten courses would lift it by only 0.25.

The Formula

Lift = total bonus points / number of courses

The bonus total is diluted by the course count. A 2.5 bonus total over five courses lifts the mean by 0.5; the same 2.5 over ten courses would lift it by only 0.25.

SymbolMeaning
BTotal bonus points across the term
nNumber of courses

What Each Symbol Means

Bpoints

Total bonus points across the term

2.5 in the worked set, built from 1.0 + 1.0 + 0.5.

ncourses

Number of courses

The divisor that dilutes the bonus; 5 here.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate a weighted gpa page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate A Weighted GPA, filed under Education. Every number the guide produces comes from substituting into this one line.